\newcommand{\Sc}{S_c({\mathbf k},\omega)}
\newcommand{\intkom}{\int d{\mathbf k} \: d \omega}
\newcommand{\dkom}{d{\mathbf k} \: d \omega}
\newcommand{\kom}{{\mathbf k},\omega}
\newcommand{\bk}{\mathbf{k}}
\newcommand{\DT}{\Delta T}
\newcommand{\Zf}{Z_{ \mathrm {flux} }}
\newcommand{\Zn}{Z_{ \mathrm {num} } }
\newcommand{\Zd}{Z_{ \mathrm {diff} } }
\newcommand{\Ze}{Z_{ \mathrm e}}
\newcommand{\rZf}{\wh{Z}_{ \mathrm {flux} }}
\newcommand{\rZn}{\wh{Z}_{ \mathrm {num} } }
\newcommand{\rZd}{\wh{Z}_{ \mathrm {diff} } }
\newcommand{\rZc}{\wh{Z}_{ \mathrm {corr} } }
\newcommand{\kmm}{{\rm km}^{-1} }
\newcommand{\daym}{{\rm day}^{-1} }
\newcommand{\hrm}{{\rm hr}^{-1} }
\newcommand{\summ}{ \sum_m^M (\frac{\Delta l_m}{L_x}) }
\newcommand{\wt}{ \widetilde}
\newcommand{\wh}{ \widehat}
\newcommand{\mc}{ \multicolumn}
\newcommand{\idC}{ {C}}
\newcommand{\idCo}{ \overline{C}_o }
\newcommand{\idc}{ {c} }
\newcommand{\idcp}{ {c}^{\prime} }
\newcommand{\rC}{ \wh{C} }
\newcommand{\rCT}{ \wh{C}_T }
\newcommand{\rCo}{ \wh{C}_o }
\newcommand{\rc}{ \wh{c} }
\newcommand{\rcp}{ \wh{c}^{\prime} }
\newcommand{\CO}{\idCo}
\newcommand{\COh}{\rCo}
\newcommand{\idP}{ {\Psi}}
\newcommand{\rP}{ \wh{\Psi} }
\newcommand{\rPe}{ \wh{\Psi}^{\epsilon} }
\newcommand{\divu}{ \mathrm{div}(\mathbf{u}) }
\newcommand{\FC}{\wh{F}_C }
\newcommand{\FV}{\wh{F}_V }
\newcommand{\M}{\wh{M} }
\newcommand{\var}{\mathrm{var}}
\newcommand{\bias}{\mathrm{bias}}
\newcommand{\vp}{v^{\prime}}
\newcommand{\cp}{c^{\prime}}
\newcommand{\Hhat}{\wh{H}}
\newcommand{\Qhat}{\wh{Q}}
